Finite Group Databasebeta

← Group #11798311

Character table — Group #11798311

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222222244444444444448888888888888881212121212121616161616162424242424242424242424242424244848487272144
order12233446612123666881212121212242424666121212242424242424242466121266612121224668121216162424484848484121216164
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-11111111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-111-1
χ6111111111111111111111111-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11
χ7111111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-11
χ8111111111111111111111111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-111111-1
χ9222222222222222-2-222222-2-200002002-2-2-2-2-2-2-22222220000000000-20000-2-20000000000
χ10222222222222222-2-222222-2-200002002-2-2-2-2-2-2-2-2-2-2-2-2-2000000000020000220000000000
χ1122222-2-222-2-2222200-2-2-2-2-2000000200-200000002-222-2-200000000000002−20022−2−20002−20
χ1222222-2-222-2-2222200-2-2-2-2-2000000200-200000002-222-2-20000000000000−2200−2−222000−220
χ1322222-2-222-2-2222200-2-2-2-2-2000000200-20000000-22-2-22200000000000002−20022−2−2000−220
χ1422222-2-222-2-2222200-2-2-2-2-2000000200-20000000-22-2-2220000000000000−2200−2−2220002−20
χ152222-122-12-1-1-12-1-1222-1-12-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-12-1-12-1-122-1-12-1-100-1-10000000000
χ162222-122-12-1-1-12-1-1222-1-12-12222-1-1-1-1-1-12-1-1-1-1-1-1-2-211112-1-12-1-1-2-211-21100110000000000
χ172222-122-12-1-1-12-1-1222-1-12-122-2-211-111-12-1-1-1-1-1-122-1-1-1-1-211-211-2-21121100-1-10000000000
χ182222-122-12-1-1-12-1-1222-1-12-122-2-211-111-12-1-1-1-1-1-1-2-21111-211-21122-1-1-2-1-100110000000000
χ192222-122-12-1-1-12-1-1-2-22-1-12-1-2-200−i3i3-1−i3i3-1-211111122-1-1-1-10−i3i30−i3i300−i3i3-2−i3i300110000000000
χ202222-122-12-1-1-12-1-1-2-22-1-12-1-2-200−i3i3-1−i3i3-1-2111111-2-211110−i3i30−i3i300i3−i32i3−i300-1-10000000000
χ212222-122-12-1-1-12-1-1-2-22-1-12-1-2-200i3−i3-1i3−i3-1-211111122-1-1-1-10i3−i30i3−i300i3−i3-2i3−i300110000000000
χ222222-122-12-1-1-12-1-1-2-22-1-12-1-2-200i3−i3-1i3−i3-1-2111111-2-211110i3−i30i3−i300−i3i32−i3i300-1-10000000000
χ23222-12222-122-1-12-122-1-1-1-12-1-12222-122-1-122-1-1-1-1000000-1-1-1-1-1-100000002200-1-1-1-12-1-1000
χ24222-12222-122-1-12-122-1-1-1-12-1-12222-122-1-122-1-1-1-1000000-1-1-1-1-1-10000000-2-2001111-211000
χ25222-12222-122-1-12-122-1-1-1-12-1-1-2-2-2-2-1-2-2-1-122-1-1-1-100000011111100000002200-1-1-1-1-211000
χ26222-12222-122-1-12-122-1-1-1-12-1-1-2-2-2-2-1-2-2-1-122-1-1-1-10000001111110000000-2-20011112-1-1000
χ2722-222-2222-2-22-2-222-2-2-2-222222-222-2-2-22-22-222-2-2000000222-2-2-2000000000000000000000
χ2822-222-2222-2-22-2-222-2-2-2-22222-22-2-2-2222-22-222-2-2000000-2-2-2222000000000000000000000
χ2922-222-2222-2-22-2-22-22-2-2-222-2-20000-20022-22-2-2220000000000002-2220-2-200000000000000
χ3022-222-2222-2-22-2-22-22-2-2-222-2-20000-20022-22-2-222000000000000-22-2-202200000000000000
χ3122-22-1-22-1211-1-21-12-2-2112-1222-2-1-1111-1-2-11-1-11100−i3i3−i3i32-1-1-21100−i3i30i3−i300−i3i30000000000
χ3222-22-1-22-1211-1-21-12-2-2112-1222-2-1-1111-1-2-11-1-11100i3−i3i3−i32-1-1-21100i3−i30−i3i300i3−i30000000000
χ3322-22-1-22-1211-1-21-12-2-2112-122-22111-1-1-1-2-11-1-11100−i3i3−i3i3-2112-1-100i3−i30−i3i300−i3i30000000000
χ3422-22-1-22-1211-1-21-12-2-2112-122-22111-1-1-1-2-11-1-11100i3−i3i3−i3-2112-1-100−i3i30i3−i300i3−i30000000000
χ3522-22-1-22-1211-1-21-1-22-2112-1-2-200−i3i31i3−i3-121-111-1-100−i3i3−i3i30−i3i30i3−i32-2-1-101100i3−i30000000000
χ3622-22-1-22-1211-1-21-1-22-2112-1-2-200−i3i31i3−i3-121-111-1-100i3−i3i3−i30−i3i30i3−i3-22110-1-100−i3i30000000000
χ3722-22-1-22-1211-1-21-1-22-2112-1-2-200i3−i31−i3i3-121-111-1-100−i3i3−i3i30i3−i30−i3i3-22110-1-100i3−i30000000000
χ3822-22-1-22-1211-1-21-1-22-2112-1-2-200i3−i31−i3i3-121-111-1-100i3−i3i3−i30i3−i30−i3i32-2-1-101100−i3i30000000000
χ3922-2-12-222-1-2-2-11-2-12-2111-12-1-12-2221-2-2-112-2-1-111000000-1-1-111100000000000−i3i3−i3i30−i3i3000
χ4022-2-12-222-1-2-2-11-2-12-2111-12-1-12-2221-2-2-112-2-1-111000000-1-1-111100000000000i3−i3i3−i30i3−i3000
χ4122-2-12-222-1-2-2-11-2-12-2111-12-1-1-22-2-2122-112-2-1-111000000111-1-1-100000000000−i3i3−i3i30i3−i3000
χ4222-2-12-222-1-2-2-11-2-12-2111-12-1-1-22-2-2122-112-2-1-111000000111-1-1-100000000000i3−i3i3−i30−i3i3000
χ434444-2-4-4-2422-24-2-200-422-42000000-200200000004-4-2-222000000000000000000000000000
χ444444-2-4-4-2422-24-2-200-422-42000000-20020000000-4422-2-2000000000000000000000000000
χ45444-24444-244-2-24-2-4-4-2-2-2-24220000-200-22-4-42222000000000000000000000000000000000
χ46444-24-4-44-2-4-4-2-24-2002222-4000000-20020000000000000000000000000022−2200−2−222000000
χ47444-24-4-44-2-4-4-2-24-2002222-4000000-200200000000000000000000000000−22220022−2−2000000
χ48444-2-244-2-2-2-21-2-2144-211-2-2-2-244-2-21-2-21-2-2-21111000000-211-211000000000000000000000
χ49444-2-244-2-2-2-21-2-2144-211-2-2-2-2-4-4221221-2-2-211110000002-1-12-1-1000000000000000000000
χ50444-2-244-2-2-2-21-2-21-4-4-211-2-22200−2i32i31−2i32i31222-1-1-1-10000000i3−i30i3−i3000000000000000000000
χ51444-2-244-2-2-2-21-2-21-4-4-211-2-222002i3−2i312i3−2i31222-1-1-1-10000000−i3i30−i3i3000000000000000000000
χ5244-4444-444444-4-4400444-4-4000000-400-40000000000000000000000000000000000000000
χ5344-44-24-4-24-2-2-2-42-2004-2-2-420000002002000000000−2i32i32i3−2i3000000000000000000000000000
χ5444-44-24-4-24-2-2-2-42-2004-2-2-4200000020020000000002i3−2i3−2i32i3000000000000000000000000000
χ5544-4-244-44-244-22-4-200-2-2-22-40000002002000000000000000000000000000000i6−i6−i6i6000000
χ5644-4-244-44-244-22-4-200-2-2-22-40000002002000000000000000000000000000000−i6i6i6−i6000000
χ5744-4-24-444-2-4-4-22-4-2-44222-24220000200-2-2-4422-2-2000000000000000000000000000000000
χ5844-4-2-2-44-2-22212214-42-1-1-2-2-2-24-4-2-2-12212-2211-1-1000000-2112-1-1000000000000000000000
χ5944-4-2-2-44-2-22212214-42-1-1-2-2-2-2-4422-1-2-212-2211-1-10000002-1-1-211000000000000000000000
χ6044-4-2-2-44-2-2221221-442-1-1-2-22200−2i32i3-12i3−2i31-22-2-1-1110000000i3−i30−i3i3000000000000000000000
χ6144-4-2-2-44-2-2221221-442-1-1-2-222002i3−2i3-1−2i32i31-22-2-1-1110000000−i3i30i3−i3000000000000000000000
χ62888-4-4-8-8-4-4442-4-42004-2-244000000200-20000000000000000000000000000000000000000
χ6388-8-4-48-8-4-4-4-4244200-42244000000-200-20000000000000000000000000000000000000000
χ648-808800-8-800800-8000000000000000000000000000000000000000000000000000000000
χ658-808-4004-843−43-400400043−430000000000000000000000000000000000000000000000000000
χ668-808-4004-8−4343-4004000−43430000000000000000000000000000000000000000000000000000
χ678-80-4800-8400-400400000002i6−2i6000000000002i6−2i600000000000000000000000000000000000
χ688-80-4800-8400-40040000000−2i62i600000000000−2i62i600000000000000000000000000000000000
χ698-80-4-4004443−43200-2000−2323002i6−2i600000000000−i6i6−3i23i2000000000000000000000000000000000
χ708-80-4-4004443−43200-2000−232300−2i62i600000000000i6−i63i2−3i2000000000000000000000000000000000
χ718-80-4-40044−4343200-200023−23002i6−2i600000000000−i6i63i2−3i2000000000000000000000000000000000
χ728-80-4-40044−4343200-200023−2300−2i62i600000000000i6−i6−3i23i2000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).